Calculating Weight on an Incline

In summary, the problem involves finding the weight or force of gravity and the angle of incline given the perpendicular and parallel weights. Using the equations mgsinθ and mgcosθ, we can find the ratio of the two weights and then take the inverse to find θ.
  • #1
Nick Leeson
2
0

Homework Statement


perpendicular weight is given,
Parallel weight is given
Need to find actual weight and angle of incline


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
Welcome to PF.

Can you be a little more specific?
 
  • #3
I am given a problem that states the perpendicular weight is 390 and the parallel weight is 330 and it ask to find the weight or force of gravity and the angle of the incline. I know that the perpendicular weight is equal to mgsine theta, and the parallel weight is mgcosin theta.
 
  • #4
Nick Leeson said:
I am given a problem that states the perpendicular weight is 390 and the parallel weight is 330 and it ask to find the weight or force of gravity and the angle of the incline. I know that the perpendicular weight is equal to mgsine theta, and the parallel weight is mgcosin theta.

Since they are vectors, then won't the ratio of the two be an expression of θ ?

Then just take the inverse to find θ .
 

1. How do you calculate the weight of an object on an incline?

To calculate the weight of an object on an incline, you will need to know the mass of the object, the angle of the incline, and the acceleration due to gravity. You can use the formula W = mgsinθ, where W is the weight, m is the mass, g is the acceleration due to gravity, and θ is the angle of the incline.

2. What is the role of the angle of the incline in calculating weight?

The angle of the incline is an important factor in calculating weight because it affects the component of the weight that is perpendicular to the incline. The steeper the incline, the greater the component of the weight will be along the incline.

3. How does the mass of an object affect its weight on an incline?

The mass of an object does not change, regardless of the incline. However, the weight of an object will vary depending on the angle of the incline. This is because the angle affects the component of the weight that is perpendicular to the incline.

4. What is the difference between weight and mass?

Weight and mass are often used interchangeably, but they are actually two different concepts. Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity on an object. The weight of an object can vary depending on the force of gravity, but its mass will remain constant.

5. Can you calculate the weight of an object on an incline without knowing the angle?

No, the angle of the incline is a crucial factor in calculating weight on an incline. Without knowing the angle, it is not possible to accurately calculate the weight. However, if you know the weight and the mass of the object, you can determine the angle using trigonometric functions.

Similar threads

  • Introductory Physics Homework Help
Replies
11
Views
711
Replies
3
Views
578
  • Introductory Physics Homework Help
Replies
12
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
367
  • Introductory Physics Homework Help
2
Replies
36
Views
4K
  • Introductory Physics Homework Help
Replies
9
Views
849
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
484
  • Introductory Physics Homework Help
Replies
2
Views
674
Back
Top